Bell's inequality for a single spin 1/2 particle and quantum contextuality

Preprint

18 March 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9907030

Abstract

We argue that for a \emph{single particle} Bell's inequality is a consequence of noncontextuality and is \emph{incompatible} with statistical predictions of quantum mechanics. Thus noncontextual models can be empirically falsified, \emph{independent} of locality condition. For this an appropriate entanglement between \emph{disjoint} Hilbert spaces pertaining to translational and spin degrees of freedom of a single spin-1/2 particle is invoked

Keywords

QUANTUM CONTEXTUALITY
DEGREES OF FREEDOM
BELL'S INEQUALITY
HILBERT SPACES
NONCONTEXTUAL
SINGLE SPIN
STATISTICAL
INEQUALITY
EMPH

All Related Versions

Version 1, 1999-07-08, ArXiv
Version 2, 2000-04-18, ArXiv
Version 3, 2001-03-18, ArXiv
Published version: Physics Letters A, 279 (5-6), 281.

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